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Finding the Fourth Proportional to 3,718.89, 5,578.35 and 2,782.82

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Solution

The fourth proportional to 3,718.89, 5,578.35 and 2,782.82 is: 4,174.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,718.89 : 5,578.35 = 2,782.82 : x
  2. Step 2: Convert to fraction form
    3,718.89/5,578.35 = 2,782.82/x
  3. Step 3: Cross multiply
    3,718.89x = 5,578.35 × 2,782.82
  4. Step 4: Simplify right side
    3,718.89x = 15,523,505.62
  5. Step 5: Solve for x
    x = 15,523,505.62/3,718.89
  6. Step 6: Final answer
    x = 4,174.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.